Differentiate y=x^2+bx+c, and hence find b and c if: the parabola has y-intercept and has gradient -2 there?
1 Answer
Jun 4, 2018
# b = -2 #
There is insufficient information to find
Explanation:
We have a Parabola with equation
Differentiating wrt
# y' = 2x+b #
The tangent has gradient
# y'(0) = -2 => 2(0)+b = -2 => b = -2 #
Thus we can write the equation:
# y = x^2 - 2x + c #
There is insufficient information to find